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Friday, March 7, 2014

**Abstract:** Robertson-Walker spacetimes are special cases of pseudo-Riemannian warped products which arise as exact solutions of the Einstein field equations in general relativity. We will consider hypersurfaces of such spaces and give a necessary and su?cient condition for a Riemannian manifold to locally isometrically immerse into them. If we have more time, we will speak about generalized associated families of surface immersions into 3D Robertson-Walker and homogeneous spaces.